Answer:
We conclude that μ <= 20 after hypothesis testing.
Step-by-step explanation:
We are given that sample of 30 observations is selected from a normal population.
Also, Sample mean, Xbar = 21 and Population Standard deviation, = 6.
Null Hypothesis, : μ <=20
Alternate Hypothesis, : μ > 20
So, Test Statistics we will use here is ;
follows standard normal, N(0,1)
Test statistics = = 0.913 .
<em>Now at 5% level of significance z % table gives the critical value of 1.6449 and our test statistics is less than this as 1.6449 > 0.913. So,we have sufficient evidence to do not reject null hypothesis or accept </em> <em>as our test statistics does not falls in the rejection region because it is less than 1.6449.</em>
Hence we conclude after testing that Population mean, μ<=20.